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Simplifying 45 + 36a = 66 + 23a + 31 Reorder the terms: 45 + 36a = 66 + 31 + 23a Combine like terms: 66 + 31 = 97 45 + 36a = 97 + 23a Solving 45 + 36a = 97 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. 45 + 36a + -23a = 97 + 23a + -23a Combine like terms: 36a + -23a = 13a 45 + 13a = 97 + 23a + -23a Combine like terms: 23a + -23a = 0 45 + 13a = 97 + 0 45 + 13a = 97 Add '-45' to each side of the equation. 45 + -45 + 13a = 97 + -45 Combine like terms: 45 + -45 = 0 0 + 13a = 97 + -45 13a = 97 + -45 Combine like terms: 97 + -45 = 52 13a = 52 Divide each side by '13'. a = 4 Simplifying a = 4
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